diff --git a/packages/PHPStanStaticTypeMapper/TypeMapper/UnionTypeMapper.php b/packages/PHPStanStaticTypeMapper/TypeMapper/UnionTypeMapper.php
index a73769fba13..841f6edd2c2 100644
--- a/packages/PHPStanStaticTypeMapper/TypeMapper/UnionTypeMapper.php
+++ b/packages/PHPStanStaticTypeMapper/TypeMapper/UnionTypeMapper.php
@@ -518,6 +518,6 @@ private function narrowBoolType(
             return $phpParserUnionType;
         }
 
-        return $this->phpStanStaticTypeMapper->mapToPhpParserNode($unionType, $typeKind);
+        return null;
     }
 }
diff --git a/rules-tests/Php80/Rector/FunctionLike/UnionTypesRector/Fixture/narrow_bool_false2.php.inc b/rules-tests/Php80/Rector/FunctionLike/UnionTypesRector/Fixture/skip_narrow_bool_false_another_type.php.inc
similarity index 50%
rename from rules-tests/Php80/Rector/FunctionLike/UnionTypesRector/Fixture/narrow_bool_false2.php.inc
rename to rules-tests/Php80/Rector/FunctionLike/UnionTypesRector/Fixture/skip_narrow_bool_false_another_type.php.inc
index 5c01fda4886..9d34cfb7c41 100644
--- a/rules-tests/Php80/Rector/FunctionLike/UnionTypesRector/Fixture/narrow_bool_false2.php.inc
+++ b/rules-tests/Php80/Rector/FunctionLike/UnionTypesRector/Fixture/skip_narrow_bool_false_another_type.php.inc
@@ -2,7 +2,7 @@
 
 namespace Rector\Tests\Php80\Rector\FunctionLike\UnionTypesRector\Fixture;
 
-class NarrowBoolFalse2
+class SkipNarrowBoolFalseAnotherType
 {
     /**
      * @param bool|int|false $param
@@ -17,23 +17,3 @@ class NarrowBoolFalse2
         return 1;
     }
 }
-
-?>
------
-<?php
-
-namespace Rector\Tests\Php80\Rector\FunctionLike\UnionTypesRector\Fixture;
-
-class NarrowBoolFalse2
-{
-    public function go(bool|int $param): bool|int
-    {
-        if (rand(0, 1)) {
-            return rand(0, 1) ? true : false;
-        }
-
-        return 1;
-    }
-}
-
-?>
diff --git a/rules-tests/TypeDeclaration/Rector/ClassMethod/AddMethodCallBasedStrictParamTypeRector/FixtureUnion/narrow_union_multi_params.php.inc b/rules-tests/TypeDeclaration/Rector/ClassMethod/AddMethodCallBasedStrictParamTypeRector/FixtureUnion/narrow_union_multi_params.php.inc
new file mode 100644
index 00000000000..8531b9b148d
--- /dev/null
+++ b/rules-tests/TypeDeclaration/Rector/ClassMethod/AddMethodCallBasedStrictParamTypeRector/FixtureUnion/narrow_union_multi_params.php.inc
@@ -0,0 +1,51 @@
+<?php
+
+namespace Rector\Tests\TypeDeclaration\Rector\ClassMethod\AddMethodCallBasedStrictParamTypeRector\FixtureUnion;
+
+use PhpParser\Node\Expr;
+use PhpParser\Node\Expr\MethodCall;
+use PhpParser\Node\Expr\StaticCall;
+use PhpParser\Node\Scalar\LNumber;
+use PhpParser\Node\Scalar\String_;
+
+final class NarrowUnionMultiParams
+{
+    public function run(MethodCall $methodCall, StaticCall $staticCall, String_ $string)
+    {
+        $this->someExpr($methodCall, $staticCall);
+        $this->someExpr($staticCall, $staticCall);
+        $this->someExpr($string, $staticCall);
+    }
+
+    private function someExpr($expr, $staticCall)
+    {
+    }
+}
+
+?>
+-----
+<?php
+
+namespace Rector\Tests\TypeDeclaration\Rector\ClassMethod\AddMethodCallBasedStrictParamTypeRector\FixtureUnion;
+
+use PhpParser\Node\Expr;
+use PhpParser\Node\Expr\MethodCall;
+use PhpParser\Node\Expr\StaticCall;
+use PhpParser\Node\Scalar\LNumber;
+use PhpParser\Node\Scalar\String_;
+
+final class NarrowUnionMultiParams
+{
+    public function run(MethodCall $methodCall, StaticCall $staticCall, String_ $string)
+    {
+        $this->someExpr($methodCall, $staticCall);
+        $this->someExpr($staticCall, $staticCall);
+        $this->someExpr($string, $staticCall);
+    }
+
+    private function someExpr(\PhpParser\Node\Expr\MethodCall|\PhpParser\Node\Expr\StaticCall|\PhpParser\Node\Scalar\String_ $expr, \PhpParser\Node\Expr\StaticCall $staticCall)
+    {
+    }
+}
+
+?>
diff --git a/rules/TypeDeclaration/NodeAnalyzer/ClassMethodParamTypeCompleter.php b/rules/TypeDeclaration/NodeAnalyzer/ClassMethodParamTypeCompleter.php
index 149799831d6..579d06c3176 100644
--- a/rules/TypeDeclaration/NodeAnalyzer/ClassMethodParamTypeCompleter.php
+++ b/rules/TypeDeclaration/NodeAnalyzer/ClassMethodParamTypeCompleter.php
@@ -38,13 +38,8 @@ public function __construct(
     public function complete(ClassMethod $classMethod, array $classParameterTypes, int $maxUnionTypes): ?ClassMethod
     {
         $hasChanged = false;
-        $totalTypes = count($classParameterTypes);
 
         foreach ($classParameterTypes as $position => $argumentStaticType) {
-            if ($totalTypes > 1 && $argumentStaticType instanceof UnionType) {
-                return null;
-            }
-
             /** @var Type $argumentStaticType */
             if ($this->shouldSkipArgumentStaticType($classMethod, $argumentStaticType, $position, $maxUnionTypes)) {
                 continue;